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Finding the Third Proportional to 397,293 and 862,312.88

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Solution

The third proportional to 397,293 and 862,312.88 is: 1,871,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,293 : 862,312.88 = 862,312.88 : x
  2. Step 2: Convert to fraction form
    397,293/862,312.88 = 862,312.88/x
  3. Step 3: Cross multiply
    397,293x = 862,312.88 × 862,312.88
  4. Step 4: Simplify right side
    397,293x = 743,583,494,390.77
  5. Step 5: Solve for x
    x = 743,583,494,390.77/397,293
  6. Step 6: Final answer
    x = 1,871,624.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.